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nevsk [136]
3 years ago
12

One-sixth of the students surveyed use their cell phones to listen to

Mathematics
2 answers:
blondinia [14]3 years ago
8 0
Answer:

282

Explanation:

Because 47 is 1/6 of the total amount surveyed, you multiply 47 by 6, which equals 282.
kiruha [24]3 years ago
3 0

Answer:

MAYBYE

Step-by-step explanation:

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A magazine provided results from a poll of 500500 adults who were asked to identify their favorite pie. Among the 500500 ​respon
Komok [63]

Answer:

99% confidence interval is wider as compared to the 80% confidence interval.

Step-by-step explanation:

We are given that a magazine provided results from a poll of 500 adults who were asked to identify their favorite pie.

Among the 500 respondents, 14​% chose chocolate​ pie, and the margin of error was given as plus or minus ±3 percentage points. 

The pivotal quantity for the confidence interval for the population proportion is given by;

                            P.Q.  =  \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }  ~ N(0,1)

where, \hat p = sample proportion of adults who chose chocolate​ pie = 14%

            n = sample of adults = 500

            p = true proportion

Now, the 99% confidence interval for p =  \hat p \pm Z_(_\frac{\alpha}{2}_)  \times \sqrt{\frac{\hat p(1-\hat p)}{n} }

Here, \alpha = 1% so  (\frac{\alpha}{2}) = 0.5%. So, the critical value of z at 0.5% significance level is 2.5758.

Also, Margin of error = Z_(_\frac{\alpha}{2}_)  \times \sqrt{\frac{\hat p(1-\hat p)}{n} }  = 0.03 for 99% interval.

<u>So, 99% confidence interval for p</u>  =  0.14 \pm2.5758  \times \sqrt{\frac{0.14(1-0.14)}{500} }

                                                        = [0.14 - 0.03 , 0.14 + 0.03]

                                                        = [0.11 , 0.17]

Similarly, <u>80% confidence interval for p</u>  =  0.14 \pm 1.2816  \times \sqrt{\frac{0.14(1-0.14)}{500} }

Here, \alpha = 20% so  (\frac{\alpha}{2}) = 10%. So, the critical value of z at 10% significance level is 1.2816.

Also, Margin of error = Z_(_\frac{\alpha}{2}_)  \times \sqrt{\frac{\hat p(1-\hat p)}{n} }  = 0.02 for 80% interval.

So, <u>80% confidence interval for p</u>  =  [0.14 - 0.02 , 0.14 + 0.02]

                                                           =  [0.12 , 0.16]

Now, as we can clearly see that 99% confidence interval is wider as compared to 80% confidence interval. This is because more the confidence level wider is the confidence interval and we are more confident about true population parameter.

5 0
3 years ago
On Monday, the book store sold 75 books. On Tuesday, the bookstore sold 125 books. The bookstore must sell 500 books by Friday.
Anettt [7]
All you have to do is add 125 by 75 and you get 200. Now you have to subtract 500 by 200 which is 300 and here you go your answer is 300. The bookstore has to sell 300 more books in order to sell 500 books by friday
5 0
3 years ago
Brainliest plz helpppppp<br> 4.5-3(x+2.7)=7(8.1-4x)
Fofino [41]
X=2.412 is the correct answer
8 0
3 years ago
. Aladdin found a cave filled with boxes of gold, measuring 2 inches × 2 inches × 2 inches, and boxes of silver, measuring 1 inc
Viktor [21]

Answer:

Step-by-step explanation:

volume of box=6×6×7 in³

he fits gold 2×2×2

so he fits it in 6×6×6

so number of gold boxes=(6×6×6)/(2×2×2)=27

remaining space=1×6×6

number of silver boxes=(1×6×6)/(1×1×1)=36

total boxes he took=27+36=63

4 0
3 years ago
F minus 3/5 equals 4 1/5
statuscvo [17]

Answer:

3.65

Step-by-step explanation:

8 0
3 years ago
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